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6130411740 = 22325233313467
BaseRepresentation
bin1011011010110011…
…01010100011011100
3120211020110011221200
411231121222203130
5100023341133430
62452151555500
7304626432345
oct55531524334
916736404850
106130411740
112666504092
12123108bb90
137690c9a8b
144222790cc
1525d2e8460
hex16d66a8dc

6130411740 has 144 divisors (see below), whose sum is σ = 18775175328. Its totient is φ = 1619085312.

The previous prime is 6130411723. The next prime is 6130411757. The reversal of 6130411740 is 471140316.

It is a happy number.

6130411740 is a `hidden beast` number, since 613 + 0 + 4 + 1 + 1 + 7 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (6130411723) and next prime (6130411757).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13126987 + ... + 13127453.

It is an arithmetic number, because the mean of its divisors is an integer number (130383162).

Almost surely, 26130411740 is an apocalyptic number.

6130411740 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6130411740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9387587664).

6130411740 is an abundant number, since it is smaller than the sum of its proper divisors (12644763588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6130411740 is a wasteful number, since it uses less digits than its factorization.

6130411740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 6130411740 is about 78296.9459174494. The cubic root of 6130411740 is about 1830.1915592720.

The spelling of 6130411740 in words is "six billion, one hundred thirty million, four hundred eleven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 233 313 466 467 626 699 932 934 939 1165 1252 1398 1401 1565 1868 1878 2097 2330 2335 2796 2802 2817 3130 3495 3756 4194 4203 4660 4670 4695 5604 5634 6260 6990 7005 8388 8406 9340 9390 10485 11268 13980 14010 14085 16812 18780 20970 21015 28020 28170 41940 42030 56340 72929 84060 108811 145858 146171 217622 218787 291716 292342 326433 364645 435244 437574 438513 544055 584684 652866 656361 729290 730855 875148 877026 979299 1088110 1093935 1305732 1312722 1315539 1458580 1461710 1632165 1754052 1958598 2176220 2187870 2192565 2625444 2631078 2923420 3264330 3281805 3917196 4375740 4385130 4896495 5262156 6528660 6563610 6577695 8770260 9792990 13127220 13155390 19585980 26310780 34057843 68115686 102173529 136231372 170289215 204347058 306520587 340578430 408694116 510867645 613041174 681156860 1021735290 1226082348 1532602935 2043470580 3065205870 6130411740